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Finding the Fourth Proportional to 806.23, 1,209.32 and 229.10

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Solution

The fourth proportional to 806.23, 1,209.32 and 229.10 is: 343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.23 : 1,209.32 = 229.10 : x
  2. Step 2: Convert to fraction form
    806.23/1,209.32 = 229.10/x
  3. Step 3: Cross multiply
    806.23x = 1,209.32 × 229.10
  4. Step 4: Simplify right side
    806.23x = 277,058.76
  5. Step 5: Solve for x
    x = 277,058.76/806.23
  6. Step 6: Final answer
    x = 343.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.